The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: December 2008
- format: Paperback
- isbn: 9780521092029
- length: 340 pages
- dimensions: 229 x 152 x 19 mm
- weight: 0.5kg
- availability: Available
Table of Contents
1. Examples and Basic Concepts Henry Crapo
2. Axiom Systems Giorgio Nicoletti and Neil White
3. Lattices Ulrich Faigle
4. Basis-Exchange Properties Joseph P. S. Kung
5. Orthogonality Henry Crapo
6. Graphs and Series-Parallel Networks James Oxley
7. Constructions Thomas Brylawski
8. Strong Maps Joseph P. S. Kung
9. Weak Maps Joseph P. S. Kung and Hein Q. Nguyen
10. Semimodular Functions Hein Q. Nguyen.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×